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Finding the Fourth Proportional to 27,149.19, 40,721.87 and 8,428.77

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Solution

The fourth proportional to 27,149.19, 40,721.87 and 8,428.77 is: 12,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,149.19 : 40,721.87 = 8,428.77 : x
  2. Step 2: Convert to fraction form
    27,149.19/40,721.87 = 8,428.77/x
  3. Step 3: Cross multiply
    27,149.19x = 40,721.87 × 8,428.77
  4. Step 4: Simplify right side
    27,149.19x = 343,235,234.06
  5. Step 5: Solve for x
    x = 343,235,234.06/27,149.19
  6. Step 6: Final answer
    x = 12,642.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.